Home / 2,132.95-3,199.41-962.32

Finding the Fourth Proportional to 2,132.95, 3,199.41 and 962.32

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Solution

The fourth proportional to 2,132.95, 3,199.41 and 962.32 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.95 : 3,199.41 = 962.32 : x
  2. Step 2: Convert to fraction form
    2,132.95/3,199.41 = 962.32/x
  3. Step 3: Cross multiply
    2,132.95x = 3,199.41 × 962.32
  4. Step 4: Simplify right side
    2,132.95x = 3,078,856.23
  5. Step 5: Solve for x
    x = 3,078,856.23/2,132.95
  6. Step 6: Final answer
    x = 1,443.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.